Question

Resolve as equações exponenciais:
a) 2^x = 128
b) 3^2x = 243
c) 5^x =1/125
d) 0,01^x = 1000
e) 2^x−3 =1/8

f) 7292^x = 27
g) 8^x =1/16
h) 4^x = √32
i) 3^x = √27


^ =expoente
/ = sobre

Answer 1

a) 2^x = 128 => 2^x=2⁷ => x=7

b) 3^2x = 243 => 3^2x=3⁵ => x=5/2

c) 5^x =1/125 => 5^x=5-³ => x= -3

d) 0,01^x = 1000 => 10^-2x=10³ => x= -3/2

e) 2^x−3 =1/8 => 2^x-3=2-³ => x=0

f) 729^2x = 27 => 27^4x = 27¹ => x= 1/4

g) 8^x =1/16 => 2^3x = 2-⁴ => x= -4/3

h) 4^x = √32 => 2^2x=2⁵/² => 4x=5=>x=5/4

i) 3^x = √27 => 3^x= 3³/² => x=3/2